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Finding the Third Proportional to 265.75 and 623.88

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Solution

The third proportional to 265.75 and 623.88 is: 1,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.75 : 623.88 = 623.88 : x
  2. Step 2: Convert to fraction form
    265.75/623.88 = 623.88/x
  3. Step 3: Cross multiply
    265.75x = 623.88 × 623.88
  4. Step 4: Simplify right side
    265.75x = 389,220.02
  5. Step 5: Solve for x
    x = 389,220.02/265.75
  6. Step 6: Final answer
    x = 1,464.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.